What is the effect on the graph of the function f(x) =
1
x
when f(x) is replaced with f(x) − 8?
A) translate vertically 8 units up
B) translate vertically 8 units down
C) translate horizontally 8 units left
D) translate horizontally 8 units right

Respuesta :

I’m pretty sure the answer of this is C

The graph of f(x) will be translated vertically 8 units down

Transformation of functions:

Transformation take the basic function and transform it to another function.

Transforming a function from one form to another form .

Rule of transformation

f(x)-> f(x)+a the function will be moved 'a' units up

f(x)-> f(x)-a the function will be moved 'a' units down

f(x)-> f(x+a) the function will be moved 'a' units left

f(x)-> f(x-a) the function will be moved 'a' units right

The basic function is [tex]f(x)= \frac{1}{x}[/tex]

f(x) is replaced with f(x)-8

Its means graph of f(x) will be moved 8 units down .

the graph of f(x) will be translated vertically 8 units down

Learn more information about 'transformation ' here

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